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Finding the Fourth Proportional to 8,424, 12,640.92 and 3,807

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Solution

The fourth proportional to 8,424, 12,640.92 and 3,807 is: 5,712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424 : 12,640.92 = 3,807 : x
  2. Step 2: Convert to fraction form
    8,424/12,640.92 = 3,807/x
  3. Step 3: Cross multiply
    8,424x = 12,640.92 × 3,807
  4. Step 4: Simplify right side
    8,424x = 48,123,982.44
  5. Step 5: Solve for x
    x = 48,123,982.44/8,424
  6. Step 6: Final answer
    x = 5,712.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.